Three Dimensional Topological Field Theory induced from Generalized Complex Structure

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dc.creatorIkeda, Noriaki
dc.date2004-12-14
dc.date2005-03-21
dc.date.accessioned2026-07-07T11:32:21Z
dc.date.available2026-07-07T11:32:21Z
dc.descriptionWe construct a three-dimensional topological sigma model which is induced from a generalized complex structure on a target generalized complex manifold. This model is constructed from maps from a three-dimensional manifold $X$ to an arbitrary generalized complex manifold $M$. The theory is invariant under the diffeomorphism on the world volume and the $b$-transformation on the generalized complex structure. Moreover the model is manifestly invariant under the mirror symmetry. We derive from this model the Zucchini's two dimensional topological sigma model with a generalized complex structure as a boundary action on $\partial X$. As a special case, we obtain three dimensional realization of a WZ-Poisson manifold.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0412140
dc.identifierhttp://arxiv.org/abs/hep-th/0412140
dc.identifierInt.J.Mod.Phys.A22:4679-4694,2007
dc.identifierdoi:10.1142/S0217751X07037196
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197567
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleThree Dimensional Topological Field Theory induced from Generalized Complex Structure
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